Jets de fonctions differentiables sur le dual d'un groupe de Lie nilpotent. (Jets of differentiable functions on the dual of a nilpotent Lie group)

DOI10.1007/BF01388913zbMath0595.43008OpenAlexW2116148660MaRDI QIDQ1077661

Fokko du Cloux

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143458

zbMATH Keywords

nilpotent Lie groupTaylor seriesSchwartz functionsconvolution algebrajets of differentiable functionsnon-commutative differential geometrynon-commutative formal power seriessober algebratrivial representation

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Jets in global analysis (58A20) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) (L^1)-algebras on groups, semigroups, etc. (43A20) Categorical methods for abstract harmonic analysis (43A95)

Related Items (7)

Matrix coefficients and a Weyl correspondence for nilpotent Lie groups ⋮ Sur les représentations différentiables des groupes de Lie algébriques ⋮ Spectral synthesis for coadjoint orbits of nilpotent Lie groups ⋮ Topologically irreducible representations of the Schwartz-algebra of a nilpotent Lie group ⋮ On representations of real Jacobi groups ⋮ Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups) ⋮ Sur les groupes $EXT^n$ des représentations des groupes de Lie semi-simples

Cites Work

• On a connection between nilpotent groups and oscillatory integrals associated to singularities
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